Answered: A suburban watershed can be divided…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

A suburban watershed can be divided into 3 sub-catchments, with 40% of area covered by paved surface (CN = 98), 15% of area covered by business districts (CN = 88), and the remaining area covered by lawns and parks (CN = 61). Considering the entire watershed for simple storm-runoff analysis, the average composite curve number is about A. CN=80 B. CN=82 C. CN=83 D. CN=86

Expert Solution

Step 1: Calculation of the weighted CN

To find the average composite curve number (CN) for the entire watershed, you need to calculate a weighted average of the CN values for the three sub-catchments based on the percentage of each sub-catchment area.

Here's how you can calculate it:

Calculate the weighted CN for each sub-catchment:

For the paved surface (40% of the area) with $text CN end text space equals space 98$ , the weighted CN is $0.40 space cross times space 98 space equals space 39.2$ .

For the business districts (15% of the area) with $text CN end text space equals space 88$ , the weighted CN is $0.15 space cross times space 88 space equals space 13.2$ .

For the lawns and parks (45% of the area) with $text CN end text space equals space 61$ , the weighted CN is $0.45 space cross times space 61 space equals space 27.45$ .

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